Tait computability
WebCompact computability families. Computability `a la Tait is concerned with structures (or properties) that lie over syntactical entities from some type theory; the canonical … WebTait computability (STC) from working internally to a single gluing category to applying to a collection of gluing categories interconnected by functors and natu-ral transformations. In particular ...
Tait computability
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Web19 Jan 2024 · The modal language of synthetic Tait computability promises a new and more abstract account of refinement types and program extraction via a phase distinction … Web28 Jun 2024 · information flow, noninterference, denotational semantics, phase distinction, Artin gluing, modal type theory, topos theory, synthetic domain theory, synthetic Tait computability : Seminar: 7th International Conference on Formal Structures for Computation and Deduction (FSCD 2024) Issue date: 2024 : Date of publication: 28.06.2024
WebSynthetic Tait computability is a mathematical machine to reduce difficult problems of type theory and programming languages to trivial theorems of topos theory. First employed by Sterling and Harper to reconstruct the theory of program modules and their phase separated parametricity, synthetic Tait WebI am a Marie Skłodowska-Curie Postdoctoral Fellow hosted at Aarhus University in the Logic and Semantics group by L. Birkedal, and will be starting as an Associate Professor at University of Cambridge in Autumn; I earned my PhD from Carnegie Mellon University under R. Harper.I study programming languages and semantics using type theory, category …
WebSynthetic Tait Computability for Simplicial Type Theory Weinberger, Ahrens, Buchholtz, and North With those modi cations, our current progress indicates that the methods by … Web19 Jan 2024 · The idea of synthetic Tait computability is to treat both object-level notions (e.g. the collection of terms of type \TpBool) and meta-level notions (e.g. a normal form …
Web19 Jan 2024 · Chapter 4: Tait’s Method of Computability [jms-0013] It is simple enough to verify negative properties of a formal system, e.g. the non-derivability of a given assertion …
WebJ. Sterling (2024): First Steps in Synthetic Tait Computability: The Objective Metatheory of Cubical Type Theory. Doctoral Dissertation, Carnegie Mellon University J. Sterling, C. … kontakt user content directoryWeb2 Jun 2024 · Download PDF Abstract: We consider the conversion problem for multimodal type theory (MTT) by characterizing the normal forms of the type theory and proving normalization. Normalization follows from a novel adaptation of Sterling's Synthetic Tait Computability which generalizes the framework to accommodate a type theory with … kontamination wortbildungWeb19 Jan 2024 · The purpose of this chapter is to identify several applications of synthetic Tait computability to core programming languages, and set an agenda for future work — some … kontaminationsschutzhaube form 1Web19 Jan 2024 · This dissertation has focused almost solely on the development and applications of synthetic Tait computability in the context of pure type theory, but the author originally invented synthetic Tait computability to solve problems in core programming languages, as part of Sterling and Harper’s re-analysis of the phase distinction in ML-style … konta office ugWeb2 Aug 2024 · It is a technique of constructing logical relations using an internal language of a category obtained by the Artin gluing. ... ... The logical relation constructed using synthetic Tait... kontakty office 365kontakt this instrument belongs to a libraryWeb3 Simplicial Synthetic Tait Computability Presentation as a bered signature In his recent PhD thesis [15], Sterling develops a logical framework to de ne a variety of type theories. The … kontakt without native access